I'm running a regression in which the predictor is a categorical measure of living arrangement (1=two parent household, 2 = single parent, etc). There are 8 total categories in this variable. I'm using them to predict a binary categorical outcome (1=yes and 2=no).
The results I'm getting all have positive B coefficients and Exp(B) values greater than one. I'm interpreting this to mean that, for example, two parent households are more likely to score a 2 than all other living arrangements. However, if this is the case for ALL categories, wouldn't this be impossible? Not sure how every category can be more likely to have the same outcome than every other category.
I'm new to this type of analysis so it's very possible that I'm interpreting the outcome incorrectly. Any help would be greatly appreciated.